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Investments (Tables)
 9 Months Ended
Sep. 30, 2020
Investments [Abstract]  
Available-for-Sale Securities
The following is a summary of available-for-sale securities at September 30, 2020 and December 31, 2019:

  
Fair
Value
    
Cost or
Amortized Cost
    
Gross
Unrealized Gains
    
Gross
Unrealized Losses
    
Net Unrealized
Gains (Losses)
  
September 30, 2020
                              
Fixed income securities
                              
Agency collateralized mortgage obligations
  
$
10,106
    
$
9,992
    
$
401
    
$
(287
)
  
$
114
  
Agency mortgage-backed securities
    
98,651
      
95,597
      
3,079
      
(25
)
    
3,054
  
Asset-backed securities
    
102,193
      
104,985
      
579
      
(3,371
)
    
(2,792
)
Bank loans
    
8,580
      
9,605
      
–
      
(1,025
)
    
(1,025
)
Certificates of deposit
    
520
      
520
      
–
      
–
      
–
  
Collateralized mortgage obligations
    
6,034
      
6,167
      
56
      
(189
)
    
(133
)
Corporate securities
    
324,116
      
310,689
      
14,579
      
(1,152
)
    
13,427
  
Mortgage-backed securities
    
43,233
      
47,780
      
1,051
      
(5,598
)
    
(4,547
)
Municipal obligations
    
43,920
      
42,266
      
1,694
      
(40
)
    
1,654
  
Non-U.S. government obligations
    
29,718
      
28,896
      
822
      
–
      
822
  
U.S. government obligations
    
184,866
      
176,464
      
8,422
      
(20
)
    
8,402
  
Total fixed income securities
  
$
851,937
    
$
832,961
    
$
30,683
    
$
(11,707
)
  
$
18,976
  

 
Fair
Value
    
Cost or
Amortized Cost
    
Gross
Unrealized Gains
    
Gross
Unrealized Losses
    
Net Unrealized
Gains (Losses)
  
December 31, 2019
                              
Fixed income securities
                              
Agency collateralized mortgage obligations
  
$
12,093
    
$
11,557
    
$
536
    
$
–
    
$
536
  
Agency mortgage-backed securities
    
56,280
      
54,286
      
2,005
      
(11
)
    
1,994
  
Asset-backed securities
    
106,397
      
107,028
      
499
      
(1,130
)
    
(631
)
Bank loans
    
14,568
      
14,932
      
106
      
(470
)
    
(364
)
Certificates of deposit
    
2,835
      
2,835
      
–
      
–
      
–
  
Collateralized mortgage obligations
    
5,616
      
5,123
      
493
      
–
      
493
  
Corporate securities
    
281,381
      
274,340
      
7,492
      
(451
)
    
7,041
  
Mortgage-backed securities
    
47,463
      
46,685
      
1,047
      
(269
)
    
778
  
Municipal obligations
    
36,286
      
35,749
      
684
      
(147
)
    
537
  
Non-U.S. government obligations
    
24,179
      
23,889
      
290
      
–
      
290
  
U.S. government obligations
    
208,440
      
206,623
      
2,891
      
(1,074
)
    
1,817
  
Total fixed income securities
  
$
795,538
    
$
783,047
    
$
16,043
    
$
(3,552
)
  
$
12,491
  
Fixed Maturity and Equity Security Investments in Unrealized Loss Position
The following table summarizes, for available-for-sale fixed income securities in an unrealized loss position at September 30, 2020 and December 31, 2019, the aggregate fair value and gross unrealized loss categorized by the duration individual securities have been continuously in an unrealized loss position.

  
September 30, 2020
    
December 31, 2019
  
   
Number of
Securities
    
Fair
Value
    
Gross
Unrealized Loss
    
Number of
Securities
    
Fair
Value
    
Gross
Unrealized Loss
  
Fixed income securities:
                                    
12 months or less
    
155
    
$
149,489
    
$
(8,214
)
    
88
    
$
108,387
    
$
(2,452
)
Greater than 12 months
    
25
      
28,495
      
(3,493
)
    
69
      
66,860
      
(1,100
)
Total fixed income securities
    
180
    
$
177,984
    
$
(11,707
)
    
157
    
$
175,247
    
$
(3,552
)
                                                 
Fair Value and Cost or Amortized Cost of Fixed Maturity Investments by Contractual Maturity
The fair value and the cost or amortized costs of fixed income investments at September 30, 2020, organized by contractual maturity, are shown below.  Actual maturities may ultimately differ from contractual maturities because borrowers have, in some cases, the right to call or prepay obligations with or without call or prepayment penalties. Pre-refunded municipal bonds are classified based on their pre-refunded call dates.

  
Fair
Value
    
Cost or
Amortized Cost
  
One year or less
  
$
92,882
    
$
92,080
  
Excess of one year to five years
    
337,419
      
324,886
  
Excess of five years to ten years
    
144,672
      
135,091
  
Excess of ten years
    
22,781
      
22,550
  
Contractual maturities
    
597,754
      
574,607
  
Asset-backed securities
    
254,183
      
258,354
  
Total
  
$
851,937
    
$
832,961
  
Net Realized and Unrealized Gains (Losses) on Investments
Following is a summary of the components of net realized and unrealized gains (losses) on investments for the periods presented in the accompanying condensed consolidated statements of operations.

  
Three Months Ended
September 30
    
Nine Months Ended
September 30
  
   
2020
    
2019
    
2020
    
2019
  
Gross gains on available-for-sale fixed income securities sold during the period
  
$
2,875
    
$
2,407
    
$
8,088
    
$
9,710
  
Gross losses on available-for-sale fixed income securities sold during the period
    
(2,662
)
    
(2,728
)
    
(7,552
)
    
(9,409
)
                                 
Impairment losses on investments
    
(588
)
    
(58
)
    
(1,046
)
    
(404
)
                                 
Change in value of limited partnership investments
    
62
      
278
      
(1,201
)
    
1,000
  
                                 
Gains on equity securities:
                                
Realized gains (losses) on equity securities sold during the period
    
(252
)
    
1,520
      
(9,460
)
    
1,571
  
Unrealized gains (losses) on equity securities held at the end of the period
    
709
      
(1,294
)
    
(5,825
)
    
6,573
  
Realized and unrealized gains (losses) on equity securities during the period
    
457
      
226
      
(15,285
)
    
8,144
  
                                 
Net realized and unrealized gains (losses) on investments
  
$
144
    
$
125
    
$
(16,996
)
  
$
9,041